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A246967
Decimal expansion of the real positive solution to eta(x) = x.
0
6, 2, 9, 3, 3, 4, 0, 9, 4, 0, 0, 9, 3, 7, 2, 7, 6, 7, 5, 5, 6, 4, 8, 0, 5, 0, 2, 5, 8, 9, 3, 2, 6, 1, 3, 7, 6, 4, 7, 2, 0, 7, 6, 4, 6, 8, 6, 6, 1, 8, 5, 3, 5, 5, 0, 6, 8, 8, 5, 8, 0, 2, 3, 1, 9, 7, 2, 6, 9, 2, 8, 5, 2, 9, 1, 5, 5, 7, 4, 6, 2, 1, 1, 0, 4, 2, 0, 0, 7, 9, 7, 5, 5, 6, 1, 9, 4
OFFSET
0,1
COMMENTS
Fixed point of Dirichlet eta function.
LINKS
Eric Weisstein's World of Mathematics, Dirichlet Eta Function.
EXAMPLE
0.6293340940...
MATHEMATICA
RealDigits[x /. FindRoot[DirichletEta[x] - x, {x, 0}, WorkingPrecision -> 120], 10, 100] [[1]] (* Amiram Eldar, May 24 2021 *)
PROG
(PARI) solve(n=0, 2, (1-2^(1-n))*zeta(n)-n) \\ Edward Jiang, Sep 08 2014
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Michal Paulovic, Sep 08 2014
STATUS
approved